Answer: y = 0.5x -1 and t = 0.5n + 1
Answer: 11x - 9y - 3
Step-by-step explanation:
Collect like terms - start with x
9x - 8y +2x - 6 - y + 3
11x - 8y - 6 - y + 3
Collect all y terms
11x - 9y - 6 +3
Collect all integers
11x - 9y - 3 - final answer
A few tips:
- If the numbers are in negatives, the greatest number should be the closest from 0.
- If the numbers are in positives, the greatest number should be farthest from 0
- If the numbers are in positives and negatives, the number which is farthest from 0 will be the greatest.
Solution (Verification for Option A):
<u>In this case, all the numbers are in negatives.</u>
- => -3 > -4 > -7 > -8 > -9 (Correct)
Solution (Verification for Option B):
<u>In this case, a few numbers are in positives and in negatives.</u>
- => 9 > 7 > 6 > -5 > 4 (Incorrect)
Solution (Verification for Option C):
<u>In this case, a few numbers are in positives and in negatives.</u>
- => 8 > -6 > 5 > -4 > 1 (Incorrect)
Solution (Verification for Option D):
<u>In this case, a few numbers are in positives and in negatives.</u>
- => -3 > -1 > 0 > 2 > 7 (Incorrect)
Conclusion:
Answer:
a). Radius r of the small sector= 12cm
b). Perimeter of the shape= 68 cm
c). Angle= 47.7°
Step-by-step explanation:
a). Radius of the big sector= 24 cm
Arc if the big sector= 20 cm
Arc of the small sector= 10 cm
For the radius r of the small sector
r/10 = 24/20
r=(10*24)/20
r= 24/2
r= 12 cm
Radius r of the small sector= 12cm
b). Perimeter of the shape
= Total length of the shape
Let's note that the other side of the sector is also the radius= 24 cm
Perimeter= 20+24+24
Perimeter of the shape= 68 cm
c) the angle
Length of arc = 2πr*(angle/360)
Let angle = b
Length of arc = 20cm
20= 2*3.14*24*(b/360)
(20*360)/(2*3.14*24)= b
47.7°= b
Angle= 47.7°
Answer:
$74.34
Step-by-step explanation: